Question

HELP PLEASE!
The data in the table and on the scatter plot shows the relationship between the time of day and the total number of calories that a teenager consumes throughout the day.
Time Number of Calories Consumed
8am 525
10am 675
12pm 1,425
2pm 1,675
4pm 1,675
6pm 2,195
8pm 2,195
10pm 2,395

Write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer.
Hint: On the plot, the time is represented using a 12-hour clock. To get an accurate equation, you will want to represent the time using a 24-hour clock instead. For example, 2 pm can be represented as 12 + 2 = 14.

Answer 1

The generic equation of the line is:
 y-yo = m (x-xo)
 Where,
 m = (y2-y1) / (x2-x1)
 Substituting values:
 m = (2000-2500) / (18-22)
 Rewriting:
 m = (- 500) / (- 4)
 m = 125
 We choose an ordered pair:
 (xo, yo) = (18, 2000)
 Substituting:
 y-2000 = 125 (x-18)
 y = 125x - 2250 + 2000
 y = 125x + 250
 Answer:
 The equation of the best fit line in slope-intercept form is:
 y = 125x + 250

Answer 2

Answer:

To create our linear equation, we are going to use the tow points. Our first point will be the first point in our data graph, so (8, 525), and our second point will be the last point in our data graph, so  (22, 2395). The  will represent the time, and the  will represent the calories.

Step-by-step explanation:

hope it helps